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The local train heading for Westford at 60km/h and the express train heading for Eastford at 80 km/h pass each other at Centerville while heading in opposite directions along a straight roadbed. Westford and Eastford are 195 km apart, and if the local train makes one additional 15 minute stop after passing Centerville the express completes its run before the local does. What is the maximum distance to the nearest kilometer between Westford and Centerville?

Respuesta :

Answer:

The maximum distance to the nearest kilometer between Westford and Centerville is 111.43 km.

Step-by-step explanation:

Local train stats:

Rate = 60 km/h

Distance = x km

Time = x/60 hours

Express train stats:

Rate = 80 km/h

Distance = [tex](195-x)[/tex] km

Time = [tex](195-x)/80[/tex] hours

Now we will equate both the times.

[tex]x/60 =(195-x)/80[/tex]

[tex]x/3= (195-x)/4[/tex]

[tex]4x= 585-3x[/tex]

[tex]7x= 585[/tex]

x = 83.57 km

[tex]195-x=195-83.57= 111.43[/tex] km

Hence, the maximum distance to the nearest kilometer between Westford and Centerville is 111.43 km.

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